Showing papers on "Second-order fluid published in 1984"
TL;DR: In this paper, the flow of an incompressible second-order fluid past a stretching sheet is studied, and the authors present a study of the flow in the presence of a stretch sheet.
Abstract: This paper presents a study of the flow of an incompressible second-order fluid past a stretching sheet. The problem has a bearing on some polymer processing application such as the continuous extrusion of a polymer sheet from a die.
491 citations
185 citations
TL;DR: In this article, the equations of motion of an incompressible second grade fluid are obtained by employing semi-inverse methods in which we assume certain geometrical or kinematical properties of the fields.
Abstract: Solutions for the equations of motion of an incompressible second grade fluid are obtained by employing semi-inverse methods in which we assume certain geometrical or kinematical properties of the fields. Specifically the problems studied in viscous fluids by Jeffery, Hamel and Gortler and Wieghardt, etc. are considered in a second grade fluid and the results for stream lines, velocities and pressure distribution are compared in the two cases.
61 citations
TL;DR: In this article, the stability of flow of a generalized second-order fluid down an inclined plane with respect to three-dimensional disturbances was investigated and the critical Reynolds number was given as a function of dimensionless steady flow velocityU(y), material parameters and the slope of the plane.
Abstract: This investigation concerns the stability of flow of a generalized second-order fluid down an inclined plane with respect to three-dimensional disturbances. The critical Reynolds number is given as a function of dimensionless steady flow velocityU(y), material parameters and the slope of the plane. In this case, for long wave disturbances, Squire's theorem is valid. This result contradicts that of Gupta.
1 citations
01 Jan 1984
TL;DR: In this article, a theoretical treatment has been carried out on this converging flow of superimposed viscoelastic fluids assuming a modified second order fluid model for the constitutive equation of each fluid.
Abstract: In most wire-coating coextrusion dies, two polymeric melts flow in contact with each other through a converging section. In this paper, a theoretical treatment has been carried out on this converging flow of superimposed viscoelastic fluids assuming a modified second order fluid model for the constitutive equation of each fluid. The energy balance equation has also been solved simultaneously. Numerical methods have been employed to solve this flow problem. The results of the computer program are radial profiles of viscosity, shear stress, normal stress, velocity and temperature at all axial locations and the pressure drop across the length of the die. Pressure gradient, location of the interface and viscosity ratio at the interface are also calculated at each axial location. This program can also be used for dies in which tapering angles change along the length and thus it will prove useful in optimizing the die geometry for any specific wire-coating application.
TL;DR: In this paper, the steady axisymmetric flow of an incompressible second-order fluid past a sphere at rest is considered by the method of Blasius with a potential flow in the main stream.
Abstract: The steady axisymmetric flow of an incompressible second-order fluid past a sphere at rest is considered by the method of Blasius with a potential flow in the main stream. The first four terms of the series are obtained by Meksyn's method. The position of the separation ring is calculated for various values of the second-order parameters. The position of the separation ring for the Newtonian case agrees very nearly with that obtained by Schlichting who used exact values of the first four terms of the series. The effect of second-order parameters on the position of the separation ring is to advance it towards the forward stagnation point.